On the existence of a solution for an adsorption dynamic model with the Langmuir isotherm

被引：3

作者：

Fernandez, J. R. ^{[1
]}

Muniz, M. C. ^{[2
]}

Nunez, C. ^{[3
]}

机构：

[1] Univ Vigo, ETSI Telecomun, Dept Matemat Aplicada 1, Vigo 36310, Spain

[2] Univ Santiago Compostela, Dept Matemat Aplicada, Fac Matemat, Santiago De Compostela 15782, Spain

[3] Fac Ciencias Educ, Dept Didactica Ciencias Expt, Santiago, Chile

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2014年 / 25卷

关键词：

76T10; 76A20; 76M20; 76M30; 92C45; SURFACTANT; DIFFUSION; INTERFACE; KINETICS;

D O I：

10.1017/S0956792514000199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study an adsorption model arising in the dynamics of several surfactants at the air-water interface, where the Langmuir isotherm is employed for modelling the time-dependent surface concentration, providing a nonlinear dynamical boundary condition. Existence of a weak solution is proved by using the Rothe method for a semi-discrete problem in time. After obtaining some a priori estimates and passing to the limit in the time discretization parameter, we conclude that the original Langmuir problem has a bounded solution. An uniqueness result is also given.

引用

页码：629 / 653

页数：25

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